Note that \({L}_{p,\infty }\) -estimates with \(p>2\)  and \({L}_p\) -estimate with \(p\ge 2\)  were established in [1]} with unspecificed constantsas a special case of general results of Levitina-Sukochev-Zanin [2]}. We further elaborate on the arguments of [2]} to get explicit constants for these estimates.
